Non-Hermitian Physics

Abstract

A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity and parity-time symmetry, are delineated in a pedagogical and mathematically coherent manner. Building on these, we provide an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-Hermitian wave physics. In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility, enhanced sensitivity, topological energy transfer, coherent perfect absorption, single-mode lasing, and robust biological transport. We then explain in detail how non-Hermitian operators emerge as an effective description of open quantum systems on the basis of the Feshbach projection approach and the quantum trajectory approach. We discuss their applications to physical systems relevant to a variety of fields, including atomic, molecular and optical physics, mesoscopic physics, and nuclear physics with emphasis on prominent phenomena/subjects in quantum regimes, such as quantum resonances, superradiance, continuous quantum Zeno effect, quantum critical phenomena, Dirac spectra in quantum chromodynamics, and nonunitary conformal field theories. Finally, we introduce the notion of band topology in complex spectra of non-Hermitian systems and present their classifications by providing the proof, firstly given by this review in a complete manner, as well as a number of instructive examples. Other topics related to non-Hermitian physics, including nonreciprocal transport, speed limits, nonunitary quantum walk, are also reviewed.

Review article commissioned by Advances in Physics - 191 pages, 49 figures, 8 tables

References in corpus (198)

• Novel type of phase transition in a system of self-driven particles
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• The density-matrix renormalization group in the age of matrix product states
• Topological Photonics
• Classification of topological insulators and superconductors in three spatial dimensions
• Making Sense of Non-Hermitian Hamiltonians
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum fluids of light
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• The physics of exceptional points
• Photovoltaic Hall effect in graphene
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Analogs of quantum Hall effect edge states in photonic crystals
• Topological Origin of Non-Hermitian Skin Effects
• Topological characterization of periodically-driven quantum systems
• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Coherent Perfect Absorbers: Time-reversed Lasers
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Loss-induced suppression and revival of lasing
• Thermodynamic uncertainty relation for biomolecular processes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Cold atoms in cavity-generated dynamical optical potentials
• Visualization of Branch Points in PT-Symmetric Waveguides
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum trajectories and open many-body quantum systems
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Circuit cavity electromechanics in the strong coupling regime
• Topological Defects and Gapless Modes in Insulators and Superconductors
• The elusive memristor: properties of basic electrical circuits
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Exciton-polariton condensates
• Fluctuation theorems: Work is not an observable
• Matrix product states represent ground states faithfully
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• PT-Symmetric Phonon Laser
• Light fields in complex media: mesoscopic scattering meets wave control
• Topological Anderson Insulator
• A Straightforward Introduction to Continuous Quantum Measurement
• Exploring Topological Phases With Quantum Walks
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topology of crystalline insulators and superconductors
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Absence of Quantum Time Crystals
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Topological phase transition in non-Hermitian quasicrystals
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Non-Hermitian Topological Sensors
• Exponential localization of Wannier functions in insulators
• Observation of the exceptional point in cavity magnon-polaritons
• Interacting anyons in topological quantum liquids: The golden chain
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Topological Order and Conformal Quantum Critical Points
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Topological properties of linear circuit lattices
• New topological invariants in non-Hermitian systems
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Probing 10 μK stability and residual drifts in the cross-polarized dual-mode stabilization of single-crystal ultrahigh-Q optical resonators
• Non-Markovian quantum jumps
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Solitons in PT-symmetric nonlinear lattices
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Optomechanically-Induced Transparency in partiy-time-symmetric microresonators
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Pattern formation in self-propelled particles with density-dependent motility
• Polariton $\mathbb{Z}$ Topological Insulator
• The ODE/IM Correspondence
• Continuous Matrix Product States for Quantum Fields
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Atomic three-body loss as a dynamical three-body interaction
• Nonreciprocity as a generic route to traveling states
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Topological Anderson Insulator in Three Dimensions
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Measurement-induced quantum criticality under continuous monitoring
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Observation of Lee-Yang zeros
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Topological surface states in three-dimensional magnetic insulators
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
• PT-Symmetric Talbot Effects
• Ultracold atoms in optical lattices generated by quantized light fields
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
• PT-Symmetric Wave Chaos
• Bifurcation diagram and pattern formation in superconducting wires with electric currents
• Topological non-Hermitian origin of surface Maxwell waves
• Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Topological phase in a non-Hermitian PT symmetric system
• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
• Anderson transition in three-dimensional systems with non-Hermitian disorder
• Transient dynamics of the Anderson impurity model out of equilibrium
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Exact dynamics in the inhomogeneous central-spin model
• Beyond mean-field dynamics in open Bose-Hubbard chains
• Physics at the entangling surface
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
• Trajectory phase transitions, Lee-Yang zeros, and high-order cumulants in full counting statistics
• Fermionic Matrix Product States and One-Dimensional Topological Phases
• Non-Hermitian dynamics without dissipation in quantum systems
• Nonnormal amplification in random balanced neuronal networks
• Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
• Floquet Topological Order in Interacting Systems of Bosons and Fermions
• Chirality of wave functions for three coalescing levels
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• Entanglement Entropy of Non Unitary Conformal Field Theory
• Electromagnetically induced Talbot effect
• Detection of a quantum particle on a lattice under repeated projective measurements
• Quantum sensing with a single-qubit pseudo-Hermitian system
• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• Quantum-gas microscopes - A new tool for cold-atom quantum simulators
• Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
• PT-symmetric quantum Liouvillian dynamics
• PT Symmetry on the Lattice: The Quantum Group Invariant XXZ Spin-Chain
• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Quantum gas microscopy with spin, atom-number and multi-layer readout
• Comparison and unification of non-Hermitian and Lindblad approaches with applications to open quantum optical systems
• Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
• A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Non-Gaussian correlations imprinted by local dephasing in fermionic wires
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Virtual Topological Insulators with Real Quantized Physics
• Microscopic models of interacting Yang-Lee anyons
• Exceptional points of any order in a single, lossy, waveguide beamsplitter by photon-number-resolved detection
• Time-dependent Hamiltonians with 100% evolution speed efficiency
• Complexified Dynamical Systems
• Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
• Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Non-Markovian Quantum State Diffusion for Temperature-Dependent Linear Spectra of Light Harvesting Aggregates
• Kibble-Zurek scaling in the Yang-Lee edge singularity
• Unstable Avoided Crossing in Coupled Spinor Condensates
• Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
• Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
• Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
• Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Dissipative Binding of Lattice Bosons through Distance-Selective Pair Loss
• Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories
• PT-symmetry in optics beyond the paraxial approximation
• Homotopy Theory of Strong and Weak Topological Insulators
• Characteristic Functions Based on Quantum Jump Trajectory
• Multi-stability and condensation of exciton-polaritons below threshold
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• Anatomy of quantum critical wave functions in dissipative impurity problems
• Nondestructive imaging of an ultracold lattice gas
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Dissipative analog of four-dimensional quantum Hall physics
• Homodyne monitoring of post-selected decay
• Many-body out-of-equilibrium dynamics of hard-core lattice bosons with non-local loss
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Linking scalar elastodynamics and non-Hermitian quantum mechanics
• Detector Backaction on the Self-Consistent Bound State in Quantum Point Contacts
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Ramsey interferometry of non-Hermitian quantum impurities
• Tuning the Fano Resonance with an Intruder Continuum
• Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
• Three-state Landau-Zener model in the presence of dissipation
• Quantum Work Relations and Response Theory in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Systems
• Feshbach projection-operator formalism to resonance scattering on Bargmann-type potentials
• Cavityless self-organization of ultracold atoms due to the feedback-induced phase transition
• Time-dependent variational principle of mixed matrix product states in the thermodynamic limit

Cited by in corpus (981)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Classical higher-order topological insulators
• Universal non-Hermitian skin effect in two and higher dimensions
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Topological active matter
• Odd Viscosity and Odd Elasticity
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Pseudospectrum and black hole quasi-normal mode (in)stability
• Realization of active metamaterials with odd micropolar elasticity
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Symmetry-protected multifold exceptional points and their topological characterization
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Transient non-Hermitian skin effect
• Non-Hermitian Edge Burst
• Simulating non-Hermitian quasicrystals with single-photon quantum walks
• Controlling mass and energy diffusion with metamaterials
• Simple formulas of directional amplification from non-Bloch band theory
• Coherent and Dissipative Cavity Magnonics
• Gravitational wave signatures of black hole quasi-normal mode instability
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Cavity magnomechanics: from classical to quantum
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Quantum Non-Hermitian Topological Sensors
• Many-body topology of non-Hermitian systems
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Hybrid skin-topological modes without asymmetric couplings
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
• Normalization, orthogonality and completeness of quasinormal modes of open systems: the case of electromagnetism
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Non-equilibrium stationary states of quantum non-Hermitian lattice models
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Non-Hermitian Many-Body Localization with Open Boundaries
• Non-Hermitian skin effect and self-acceleration
• Perspective: non-Hermitian physics in magnetic systems
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Self-oscillating pump in a topological dissipative atom-cavity system
• Observation of Exceptional Points in Thermal Atomic Ensembles
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Magnetic suppression of non-Hermitian skin effects
• Dislocation Non-Hermitian Skin Effect
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
• Controlling entanglement at absorbing state phase transitions in random circuits
• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant
• Non-Hermitian Topological Phases: Principles and Prospects
• Universality in driven open quantum matter
• Non-Hermitian skin effect beyond the tight-binding models
• Speeding up entanglement generation by proximity to higher-order exceptional points
• Non-Hermitian Photonic Lattices: tutorial
• Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
• Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
• Non-Hermitian physics without gain or loss: the skin effect of reflected waves
• A review of active matter reviews
• Floquet engineering of point-gapped topological superconductors
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Non-Hermitian skin effect as an impurity problem
• Non-Hermitian band topology with generalized inversion symmetry
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Non-Hermitian skin effect of dislocations and its topological origin
• Non-Hermitian Floquet Topological Matter -- A Review
• Observation of non-Hermitian edge burst in quantum dynamics
• Non-Hermitian Mott Skin Effect
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Experimental Demonstration of Controllable PT and anti-PT Coupling in a non-Hermitian Metamaterial
• Dissipative Floquet Dynamical Quantum Phase Transition
• Topological thermal transport
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Curving the space by non-Hermiticity
• Flattening the Curve with Einstein's Quantum Elevator: Hermitization of Non-Hermitian Hamiltonians via a Generalized Vielbein Formalism
• Non-Hermitian Chiral Skin Effect
• Bounds in Nonequilibrium Quantum Dynamics
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Scale-free localization and PT symmetry breaking from local non-Hermiticity
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Frequency-stable robust wireless power transfer based on high-order pseudo-Hermitian physics
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
• Exotic interactions mediated by a non-Hermitian photonic bath
• Non-Abelian effects in dissipative photonic topological lattices
• Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Unsupervised Learning of Non-Hermitian Topological Phases
• A non-Hermitian optical atomic mirror
• Observation of non-Hermitian topology in a multi-terminal quantum Hall device
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Quantum simulation of partial differential equations via Schrodingerisation
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Loss-induced Floquet non-Hermitian skin effect
• Symmetry and topological classification of Floquet non-Hermitian systems
• Generating high-order quantum exceptional points in synthetic dimensions
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Nonreciprocal slow or fast light in anti-$\mathcal{P}\mathcal{T}$-symmetric optomechanics
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Non-Hermitian sensing in the absence of exceptional points
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Non-reciprocal frustration: time crystalline order-by-disorder phenomenon and a spin-glass-like state
• Resonant Excitation of Quasinormal Modes of Black Holes
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Observations of a PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Quantum Simulation of the Bosonic Kitaev Chain
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Non-Hermitian topology in monitored quantum circuits
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Correlations at PT-symmetric quantum critical point
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Non-Hermitian Maryland Model
• Entanglement Entropy of Non-Hermitian Free Fermions
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Designing flat-band tight-binding models with tunable multifold band touching points
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Non-Hermitian Absorption Spectroscopy
• Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
• Superfluid signatures in a dissipative quantum point contact
• Square-root topological phase with time-reversal and particle-hole symmetry
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Topology protects chiral edge currents in stochastic systems
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Symmetry indicator in non-Hermitian systems
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Custodial chiral symmetry in a Su-Schrieffer-Heeger electrical circuit with memory
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Universal platform of point-gap topological phases from topological materials
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Dynamic skin effects in non-Hermitian systems
• Unraveling the topology of dissipative quantum systems
• Non-Hermitian many-body topological excitations in interacting quantum dots
• A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
• Non-Hermitian quasicrystal in dimerized lattices
• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Exceptional points in the one-dimensional Hubbard model
• Nonperturbative Waveguide Quantum Electrodynamics
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Optimized Steering: Quantum State Engineering and Exceptional Points
• Non-Hermitian skin effect edge
• Time scaling and quantum speed limit in non-Hermitian Hamiltonians
• Many-Body Open Quantum Systems
• Cavity Quantum Electrodynamics with Hyperbolic van der Waals Materials
• Non-Hermitian Waveguide Cavity QED with Tunable Atomic Mirrors
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Manipulating non-Hermitian skin effect via electric fields
• Bound states and photon emission in non-Hermitian nanophotonics
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Topological enhancement of non-normality in non-Hermitian skin effects
• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Simulating unsteady fluid flows on a superconducting quantum processor
• Activity-induced phase transition in a quantum many-body system
• Erratic non-Hermitian skin localization
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• From black hole spectral instability to stable observables
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Superfluidity of Light and its Break-Down in Optical Mesh Lattices
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Bistability in dissipatively coupled cavity magnonics
• Entanglement, non-Hermiticity, and duality
• Entanglement dynamics in the many-body Hatano-Nelson model
• Edge theory of non-Hermitian skin modes in higher dimensions
• Non-Hermitian topological end breathers
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Certifying multi-mode light-matter interaction in lossy resonators
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Non-Hermitian topology in rock-paper-scissors games
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Polarization and entanglement spectrum in non-hermitian systems
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Non-Hermitian phase-biased Josephson junctions
• Nonequilibrium diffusion processes via non-Hermitian electromagnetic quantum mechanics with application to the statistics of entropy production in the Brownian gyrator
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• Topological Microlaser with A non-Hermitian Topological Bulk
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Green's functions of multiband non-Hermitian systems
• Spectral localizer for line-gapped non-hermitian systems
• Engineering Dissipative Quasicrystals
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{P}\mathcal{T}$ symmetry
• Universal scalefree non-Hermitian skin effect near the Bloch point
• The bosonic skin effect: boundary condensation in asymmetric transport
• Encircling the Liouvillian exceptional points: a brief review
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Effect of quantum jumps on non-Hermitian system
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• The non-Hermitian skin effect: A perspective
• Fate of exceptional points under interactions: Reduction of topological classifications
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Comparative study for two-terminal transport through a lossy one-dimensional quantum wire
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
• Non-Hermitian Hamiltonians Violate the Eigenstate Thermalization Hypothesis
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Full counting statistics in the many-body Hatano-Nelson model
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Non-Bloch band theory for non-Hermitian continuum systems
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Topological Phase Transitions of Generalized Brillouin Zone
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Dissipative Boundary State Preparation
• Multiple Hierarchies from a Warped Extra Dimension
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• High-order series expansion of non-Hermitian quantum spin models
• Dissipative preparation of fractional Chern insulators
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Universal non-Hermitian transport in disordered systems
• Complex fixed points of the non-Hermitian Kondo model in a Luttinger liquid
• Unitarity breaking in self-averaging spectral form factors
• Driving quantum systems with repeated conditional measurements
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Chern number and Berry curvature for Gaussian mixed states of fermions
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• The infinity-loop microresonator: A new integrated photonic structure working on an exceptional surface
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Damping transition in an open generalized Aubry-André-Harper model
• System-environment entanglement phase transitions
• Non-Bloch band theory of generalized eigenvalue problems
• Symmetry-induced higher-order exceptional points in two dimensions
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
• Pontryagin-Optimal Control of a non-Hermitian Qubit
• Chiral state transfer under dephasing
• Time-reversal symmetric topological metal
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Extended topological mode in a one-dimensional non-Hermitian acoustic crystal
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Quantum Control in Open and Periodically Driven Systems
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Near-unit efficiency of chiral state conversion via hybrid-Liouvillian dynamics
• Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Complex Berry phase and imperfect non-Hermitian phase transitions
• New universality classes of the non-Hermitian Dirac operator in QCD-like theories
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Symmetry protected exceptional points of interacting fermions
• Quantum Liouvillian exceptional and diabolical points for bosonic fields with quadratic Hamiltonians: The Heisenberg-Langevin equation approach
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Dissipation driven phase transition in the non-Hermitian Kondo model
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Critical non-Hermitian topology induced quantum sensing
• Dynamical Transition due to Feedback-induced Skin Effect
• Exceptional points in oligomer chains
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Modeling Particle Loss in Open Systems using Keldysh Path Integral and Second Order Cumulant Expansion
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Dissipative time crystals originating from parity-time symmetry
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Scaling laws for non-Hermitian skin effect with long-range couplings
• The simulation of non-Hermitian disordered system in linear circuits
• Acoustic Bound States in the Continuum in Coupled Helmholtz Resonators
• Identifying non-Hermitian critical points with quantum metric
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Measuring topological invariants for higher-order exceptional points in quantum three-mode systems
• Non-Hermitian second-order topological superconductors
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Entanglement Hamiltonian in the non-Hermitian SSH model
• Emergence of tunable exceptional points in altermagnet-ferromagnet junctions
• Observation of universal dissipative dynamics in strongly correlated quantum gas
• Topological superconductivity enhanced by exceptional points
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Non-Hermitian topological ohmmeter
• Polarization-controlled non-Hermitian metasurfaces for ultra-sensitive terahertz sensing
• Collective bosonic effects in an array of transmon devices
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Probing two-body exceptional points in open dissipative systems
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Exceptional Points in the Baxter-Fendley Free Parafermion Model
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• PT-symmetric quantum Rabi model
• Non-Hermitian Hubbard model without the sign problem
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Pseudospectrum of rotating analog black holes
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Non-Hermitian topological phases and skin effects in kagome lattices
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Non-Hermitian Hartman effect
• Gain-Loss Coupled Systems
• Quantum spin representation for the Navier-Stokes equation
• Phantom relaxation rate of the average purity evolution in random circuits due to Jordan non-Hermitian skin effect and magic sums
• Effective protection of quantum coherence by non-Hermitian driving
• Dirac Points Embedded in the Continuum
• Novel Topology and Manipulation of Scattering Singularities in Complex non-Hermitian Systems
• Edge modes and symmetry-protected topological states in open quantum systems
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Variational quantum algorithms for scanning the complex spectrum of non-Hermitian systems
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Exponentially Enhanced non-Hermitian Cooling
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Topological transitions in quantum jump dynamics: Hidden exceptional points
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Many-body phase transitions in a non-Hermitian Ising chain
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Haldane model on the Sierpiński gasket
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Hidden zero modes and topology of multiband non-Hermitian systems
• Multipartite entanglement of the topologically ordered state in a perturbed toric code
• Synthetic Mechanical Lattices with Synthetic Interactions
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Exact WKB analysis for $\mathcal{P}\mathcal{T}$ symmetric quantum mechanics: Study of the Ai-Bender-Sarkar conjecture
• Non-orthogonal cavity modes near exceptional points in the far field
• Point-Gap Bound States in Non-Hermitian Systems
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Pseudomagnetic suppression of non-Hermitian skin effect
• Boundary sensitive Lindbladians and relaxation dynamics
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
• Stable many-body localization under random continuous measurements in the no-click limit
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Nontrivial worldline winding in non-Hermitian quantum systems
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Real-space topological invariant for time-quasiperiodic Majoranas
• Quantum theory of non-Hermitian optical binding between nanoparticles
• Non-Hermitian minimal Kitaev chains
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Unitary Scattering Protected by Pseudo-Hermiticity
• Quantum jumps in driven-dissipative disordered many-body systems
• Observables in non-Hermitian systems: A methodological comparison
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• The effect of thermal photons on exceptional points in coupled resonators
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Versatile Braiding of Non-Hermitian Topological Edge States
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Eigenvector Correlations Across the Localisation Transition in non-Hermitian Power-Law Banded Random Matrices
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Husimi dynamics generated by non-Hermitian Hamiltonians
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Semiclassical Husimi distributions for non-Hermitian quantum systems
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Proposal of a quantum version of active particles via a nonunitary quantum walk
• Experimental observation of non-Markovian quantum exceptional points
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Poincaré symmetries and representations in pseudo-Hermitian quantum field theory
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Formation of Exceptional Points in pseudo-Hermitian Systems
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Classification of multiple arbitrary-order non-Hermitian singularities
• Fisher zeros and persistent temporal oscillations in non-unitary quantum circuits
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Probing the Unstable Spectrum of Schwarzschild-like Black Holes
• Quantum tomography of a third-order exceptional point in a dissipative trapped ion
• Black hole quasinormal mode resonances
• Solvable dilation model of $\mathcal{P}\mathcal{T}$-symmetric systems
• Discriminant indicators with generalized inversion symmetry
• Surface exceptional points in a topological Kondo insulator
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Universal quantum control by non-Hermitian Hamiltonian
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Dissipative light-matter coupling and anomalous dispersion in nonideal cavities
• Complex semiclassical theory for non-Hermitian quantum systems
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Magnonic $\phi$ Josephson junctions and synchronized precession
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Physically Agnostic Quasinormal Mode Expansion in Time Dispersive Structures:from Mechanical Vibrations to Nanophotonic Resonances
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
• The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Information constraint in open quantum systems
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• A Brief History of Free Parafermions
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Biorthogonal topological charge pumping in non-Hermitian systems
• Poor man's approach to thermalization in Luttinger liquid
• How to design quantum-jump trajectories via distinct master equation representations
• Non-Hermitian control of localization in mosaic photonic lattices
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Equivalence and superposition of real and imaginary quasiperiodicities
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate: from Navier-Stokes-like Equations to Landau-like Criterion
• Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency
• Non-Hermitian invisibility in tight-binding lattices
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Wireless energy transfer in non-Hermitian quantum battery
• Waveguide QED with dissipative light-matter couplings
• Interaction-Induced Second-Order Skin Effect
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• A spin chain with non-Hermitian $\mathcal{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Speed limits and thermodynamic uncertainty relations for quantum systems governed by non-Hermitian Hamiltonian
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Sum rule for the pseudo-Rényi entropy
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• Non-Hermitian Casimir effect of magnons
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Edge states in a non-Hermitian topological crystalline insulator
• EPR Correlations Using Quaternion Spin
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Wannier-Stark localization in one-dimensional amplitude-chirped lattices
• Resonance in black hole ringdown: Benchmarking quasinormal mode excitation and extraction
• Internal nonlocality in generally dilated Hermiticity
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Lindbladian versus Postselected Non-Hermitian Topology
• Environment assisted superballistic scaling of conductance
• Harnessing Nonlinearity to Tame Wave Dynamics in Nonreciprocal Active Systems
• KPZ fluctuations in finite volume
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Lifshitz tail states in non-Hermitian disordered photonic lattices
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Non-Hermitian Bloch-Zener phase transition
• Unbalanced gain and loss in a quantum photonic system
• Anomalous Hall effect from a non-Hermitian viewpoint
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Non-Hermitian physics of levitated nanoparticle array
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Accelerating multipartite entanglement generation in non-Hermitian superconducting qubits
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Mode attraction in Floquet systems with memory: application to magnonics
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Complete quasinormal modes of Type-D black holes
• Local and energy-resolved topological invariants for Floquet systems
• Majorana zero-modes in a dissipative Rashba nanowire
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• General theory for infernal points in non-Hermitian systems
• Photoinduced non-reciprocal magnetism
• Entangelment Entropy on Generalized Brillouin Zone
• Non-Hermitian superconducting diode effect
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Algebraic structure of path-independent quantum control
• Efimov physics in the complex plane
• Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology
• A geometrical description of non-Hermitian dynamics: speed limits in finite rank density operators
• Measurement-induced phase transition in free bosons
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Measurement-induced entanglement transition in chaotic quantum Ising chain
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Non-Bloch band theory for time-modulated discrete mechanical systems
• Delocalization of skin steady states
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Dynamical Signatures of Liouvillian Flat Band
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Formal Green's function theory in non-Hermitian lattice systems
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• Exceptional stationary state in a dephasing many-body open quantum system
• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Efficient and quantum-adaptive machine learning with fermion neural networks
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Dissipative two-dimensional Raman lattice
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Power-law correlation in the homogeneous disordered state of anisotropically self-propelled systems
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
• Representations of the fractional d'Alembertian and initial conditions in fractional dynamics
• Topological physics in quantum critical systems
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Loss-induced universal one-way transport in periodically driven systems
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• A controllable anti-P-pseudo-Hermitian mechanical system and its application
• Exploring the topological sector optimization on quantum computers
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Nonreciprocal transmission in hybrid atomic ensemble-optomechanical systems
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
• Generalized Wigner-Smith analysis of resonance perturbations in arbitrary $Q$ non-Hermitian systems
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Topology of Discrete Quantum Feedback Control
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Correlations at higher-order exceptional points in non-Hermitian models
• Operator correlations in a quenched non-Hermitian Luttinger liquid
• Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond $K=1$
• Essential implications of similarities in non-Hermitian systems
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Riemann surfaces for integer counting processes
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices
• Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Real-time edge dynamics of non-Hermitian lattices
• Locality, Correlations, Information, and non-Hermitian Quantum Systems
• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Analysis of chaos and regularity in the open Dicke model
• Orthogonality catastrophe beyond bosonization from post-selection
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Exact density profile in a tight-binding chain with dephasing noise
• Universal scaling at a pre-thermal dark state
• Wilsonian approach to the interaction ${\varphi }^2(i\varphi {)}^{\epsilon }$
• Two-dimensional lattice with an imaginary magnetic field
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• Nodal phases in non-Hermitian wallpaper crystals
• Symmetry-driven Phononic Metamaterials
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Realization of geometric phase topology induced by multiple exceptional points
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Tuning excitation transport in a dissipative Rydberg ring
• Gauge theory and mixed state criticality
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Theory for the spectral splitting exponent of exceptional points
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Phase transitions in non-Hermitian superlattices
• Dynamically encircling an exceptional point through phase-tracked closed-loop control
• Winding Topology of Multifold Exceptional Points
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Interference induced anisotropy in a two-dimensional dark state optical lattice
• Observation of Braid-Protected Unpaired Exceptional Points
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Exceptional second-order topological insulators
• Tunable tachyon mass in the PT-broken massive Thirring model
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
• Non-Hermitian synthetic lattices with light-matter coupling
• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• Unveiling Non-Hermitian Spectral Topology in Hyperbolic Lattices with Non-Abelian Translation Symmetry
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
• Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Topological Operations Around Exceptional Points via Shortcuts to Adiabaticity
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• $\mathcal{P}\mathcal{T}$-symmetric photonic lattices with type-II Dirac cones
• Nambu-Covariant Many-Body Theory I: Perturbative Approximations
• Discriminant indicator with generalized rotational symmetry
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Finite steady-state current defies non-Hermitian many-body localization
• Non-reciprocal population dynamics in a quantum trimer
• Observation of quantum temporal correlations well beyond Luders bound
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Recognizing critical lines via entanglement in non-Hermitian systems
• Adiabatic Transformations in Dissipative and Non-Hermitian Phase Transitions
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Oblique scattering from non-Hermitian optical waveguides
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Recent advances in the combination of nonlinearity and exceptional points
• Schrieffer-Wolff transformation for non-Hermitian systems: application for $\mathcal{P}\mathcal{T}$-symmetric circuit QED
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Non-Hermitian tearing by dissipation
• Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
• Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems
• Reconfigurable Non-Hermitian Soliton Combs using Dissipative Couplings and Topological Windings
• Mixedness timescale in non-Hermitian quantum systems
• Gain engineering and atom lasing in a topological edge state in synthetic dimensions
• Enhanced response at exceptional points in multi-qubit systems for sensing
• Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities
• Dissipative phase transition of interacting non-reciprocal fermions
• Hermitian and non-Hermitian topology in active matter
• Shock wave generation and propagation in dissipative and nonlocal nonlinear Rydberg media
• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Exceptional deficiency of non-Hermitian systems
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Exceptional topology in non-Hermitian twisted bilayer graphene
• Quantum eigenvalue processing
• Simultaneous Quantum Squeezing of Light Polarizations and Atomic Spins in a Cold Atomic Gas
• Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems
• Quantum geometrical effects in non-Hermitian systems
• Non-Hermitian skin effect and electronic nonlocal transport
• Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Non-Hermitian chiral anomalies in interacting systems
• Perturbing scattering resonances in non-Hermitian systems: a generalized Wigner-Smith operator formulation
• Topological extension including quantum jump
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Generalized Wigner-Smith theory for perturbations at exceptional and diabolic point degeneracies
• Scattering symmetry of diffusive systems
• Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces
• Tunable Ultrafast Dynamics of Antiferromagnetic Vortices in Nanoscale Dots
• Topological and fractal defect states in non-Hermitian lattices
• Markov generators as non-hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and Singular Value Decompositions
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Non-standard quantum algebras and infinite-dimensional PT-symmetric systems
• Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
• Extracting the internal nonlocality from the dilated Hermiticity
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
• From Hermitian critical to non-Hermitian point-gapped phases
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Embedding of a non-Hermitian Hamiltonian to emulate the von Neumann measurement scheme
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Solving the Kinetic Ising Model with Non-Reciprocity
• Chiral and non-chiral swift mode conversion near an exception point with dynamic adiabaticity engineering
• Topological spin textures in electronic non-Hermitian systems
• Walking behavior induced by $\mathcal{P}\mathcal{T}$ symmetry breaking in a non-Hermitian $\mathrm{XY}$ model with clock anisotropy
• Dual opposing quadrature-PT symmetry
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Experimental observation of energy-band Riemann surface
• Correspondence principle, dissipation, and Ginibre ensemble
• Superluminal Propagation of Composite Collective Modes in Superconductor-Ferromagnet Heterostructures
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Time-Convolutionless Master Equation Applied to Adiabatic Elimination
• Quantum-jump analysis of frequency up-conversion amplification without inversion in a four-level scheme
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Quantum Measurement Encoding for Quantum Metrology
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Fundamental issues with light propagation through $\mathcal{P}\mathcal{T}$-symmetric systems
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• PT-symmetric Non-Hermitian Hopf Metal
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• A Hermitian bypass to the non-Hermitian quantum theory
• Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• Signatures of quantum phases in a dissipative system
• Non-Hermitian gravitational effects on Bose-Einstein condensate
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
• Damping Reveals Hidden Dimensions in Elastic Metastructures Through Induced Transparency
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Anderson Impurities In Edge States with Nonlinear and Dissipative Perturbations
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• Emergent non-Hermitian conservation laws at exceptional points
• Determining non-Hermitian parent Hamiltonian from a single eigenstate
• Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
• Quantum linear system algorithm with optimal queries to initial state preparation
• Noisy Stark probes as quantum-enhanced sensors
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Quasi-equilibrium polariton condensates in the non-linear regime and beyond
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity
• Optimal spectral transport of non-Hermitian systems
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Parameter estimation with the steady states of non-Hermitian spin chains
• Many-Body Neural Network Wavefunction for a Non-Hermitian Ising Chain
• Fast and High Excitation Transport in Waveguide Quantum Electrodynamics
• Non-Hermitian magnetic moment
• Non-hermitian off-diagonal magnetic response of Dirac fermions
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Predicting the response of structurally altered and asymmetrical networks
• Exceptional points and defective resonances in an acoustic scattering system with sound-hard obstacles
• Symmetry-Checking in Band Structure Calculations on a Noisy Quantum Computer
• Exceptional point rings and $PT$-symmetry in the non-Hermitian XY model
• Superuniversal Statistics with Topological Origins for non-Hermitian Scattering Singularities
• Scattering States in One-Dimensional Non-Hermitian Baths
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
• Exceptional Spectral Phase in a Dissipative Collective Spin Model
• Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Experimental measurement of quantum first-passage-time distributions
• Intrinsic non-Hermitian topological phases
• Multi-block exceptional points in open quantum systems
• Emergence of continuously varying critical exponents in coupled map lattice as an effect of quenched disorder
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Higher symmetry breaking and non-reciprocity in a driven-dissipative Dicke model
• Open-system dynamics in local Lindbladians with chaotic spectra
• An investigation of $\mathcal{P}\mathcal{T}$-symmetry breaking in tight-binding chains
• Universal quantum control over non-Hermitian continuous-variable systems
• Acoustic scattering singularities via quasi-Bound states in the continuum
• Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
• Recent progress on disorder-induced topological phases
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Finite temperature mean-field theory with intrinsic non-hermitian structures for Bose gases in optical lattices
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Does Cosmology require Hermiticity in Quantum Mechanics?
• Does Gravity Render Probability Quasilocal?
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• An interferometric method to estimate the eigenvalues of a Non-Hermitian two-level optical system
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• PT-symmetry enabled stable modes in multi-core fiber
• Eightfold way to dark states in SU(3) cold gases with two-body losses
• Zero-temperature dynamics of the spherical model with non-reciprocal interactions
• Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Ergodic Hysteresis of the Kerr black hole spectrum
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Floquet spin textures in optically pumped non-Hermitian surface states
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Exceptional rings in nonlinear non-Hermitian planar optical microcavities: implementation, signal enhancement, and topology
• Coupled-wire construction of non-Abelian higher-order topological phases
• Geometric phase from encircling an exceptional point of a quantum resonance in the complex-scaling method
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Sympathetic Cooling of Levitated Optomechanics through Nonreciprocal Coupling
• $q$th-root non-Hermitian Floquet topological insulators
• A class of 2x2 correlated random-matrix models with Brody spacing distribution
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• From hybrid polariton to dipolariton using non-hermitian Hamiltonians to handle particle lifetimes
• Self-healing of non-Hermitian topological skin modes
• Covariant formulation of the Berry connection in non-Hermitian systems
• Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations
• Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional $O(N>2)$ nonlinear sigma model and its realization in Heisenberg spin chains
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions
• Non-Hermitian Gravitational Wave Scattering
• Non-Hermitian second-order topological insulator with point gap
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems
• Computational Complexity and Simulability of Non-Hermitian Quantum Dynamics
• The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Localization with non-Hermitian off-diagonal disorder
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Magnetic field effects on the Kitaev model coupled to environment
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Higher-order Liouvillian exceptional points in the dissipative dynamics of quadratic fermions
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Complex Inflaton Potentials with Nonminimal Coupling: Robust Inflation and Geometric Reheating
• Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2)-symmetry
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbations
• Insensitive nonreciprocal edge breathers
• Precision-Induced Irreversibility in non-Hermitian systems
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Non-normality and dissipation in Markovian quantum dynamics: Implications for quantum simulation
• Smoking Gun Signatures of Quasilocal Probability in Black Hole Ringdowns
• Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
• Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
• Environment-assisted squeezing in a coherently driven non-Hermitian degenerate parametric oscillator
• Winding-control mechanism of non-Hermitian systems
• Boundary Condition Analysis of First and Second Order Topological Insulators
• Non-Hermiticity induced thermal entanglement phase transition
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Regularization of energy-dependent pointlike interactions in 1D quantum mechanics
• Ultralow radiative heat flux by Anderson localization in quasiperiodic plasmonic chains
• CPA-lasing associated with the quasibound states in the continuum in asymmetric non-Hermitian structures
• Simulating monitoring-induced topological phase transitions with small systems
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Scaling of Quantum Geometry Near the Non-Hermitian Topological Phase Transitions
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Generalized imaginary units in quantum mechanics
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Probability of a single current
• Bound State Internal Interactions as a Mechanism for Exponential Decay
• Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Exceptional topology on nonorientable manifolds
• Supermetal-insulator transition in a non-Hermitian network model
• Non-Hermitian Lindhard function and Friedel oscillations
• To quantify the difference of $\eta$-inner products in $\mathcal{P}\mathcal{T}$-symmetric theory
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials
• Engineering qubit dynamics in open systems with photonic synthetic lattices
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
• Recurrence method in Non-Hermitian Systems
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Non-Hermitian Higher-Order Dirac Semimetals
• Interacting many-body non-Hermitian systems as Markov chains
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Real critical exponents from the $\epsilon$-expansion in an interacting $U(1)$ model with non-Hermitian $Z_4$ anisotropy
• Manipulating Excitation Dynamics in Structured Waveguide Quantum Electrodynamics
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Adiabatic Quantum Zeno Dynamics of Bosonic Atom Pairs with Large Inelastic Losses
• Topology of the generalized Brillouin zone of one-dimensional models
• Impact of noise on nonlinear-exceptional-point-based sensors
• Symmetry and Topology of Successive Quantum Feedback Control
• Enhancement of quantum sensing in a dissipatively coupled two-mode system
• Transition between vacuum and finite-density states in the infinite-dimensional Bose-Hubbard model with spatially inhomogeneous dissipation
• Non-Hermitian Higher-Order Weyl Semimetals
• Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description
• Zero Indirect Band Gap in Non-Hermitian Systems
• Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems